Question: Question are listed below Exercise 2 (5 + 5 pts). Multinomz'als. 1. An urn contains 1 green ball, 1 red ball, 1 yellow ball and

Question are listed below

Exercise 2 (5 + 5 pts). Multinomz'als. 1. An urn contains 1 green ball, 1 red ball, 1 yellow ball and 1 white ball. I draw 3 balls with replacement. What is the probability that exactly two balls are of the same color? 2. Human beings have 4 types of basic blood type: AB, A, B and O. In the US, about 43% of people are 0 type, 43% of people are A type, 10% of people are B type and 4% of people are AB typel. Now you are a doctor and have two patients waiting for blood transfusion. One of them has blood type 0 and can only accept blood type 0 transfusion; the other has blood type A and can receive either type 0 Or A transfusion. Assume every donor's contribution can only support one patient (that is, one donor cannot donate blood to both patients). If you choose 5 donors randomly from the population, what's the probability that both of the patients are able to get blood transfusion? Round to four decimal places

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